Das, M.; Riedel, T.; Sahoo, P. K. Hyers-Ulam stability of Flett’s points. (English) Zbl 1047.39018 Appl. Math. Lett. 16, No. 3, 269-271 (2003). Summary: We show that T. M. Flett’s points [A mean value theorem. Math. Gazette 42, 38–39 (1958)] are stable in the sense of Hyers and Ulam. Cited in 2 ReviewsCited in 13 Documents MSC: 39B82 Stability, separation, extension, and related topics for functional equations 26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems 39B22 Functional equations for real functions Keywords:Hyers-Ulam stability; Flett mean value theorem; Flett’s point PDFBibTeX XMLCite \textit{M. Das} et al., Appl. Math. Lett. 16, No. 3, 269--271 (2003; Zbl 1047.39018) Full Text: DOI References: [1] Ulam, S. M., A Collection of Mathematical Problems (1968), Interscience: Interscience New York · Zbl 0086.24101 [2] Gruber, P. M., Stability of isometries, Trans. Amer. Math. Soc., 245, 263-277 (1978) · Zbl 0393.41020 [3] Ulam, S. M., Problems in Modern Mathematics (1960), Science Editions, Wiley · Zbl 0137.24201 [4] Hyers, D. H., On the stability of the linear functional equation, (Proc. Nat. Acad. Sci. U.S.A., 27 (1941)), 222-224 · Zbl 0061.26403 [5] Hyers, D. H.; Ulam, S. M., Approximately convex functions, (Proc. Bull. Amer. Math. Soc., 3 (1952)), 821-828 · Zbl 0047.29505 [6] Hyers, D. H.; Isac, G.; Rassias, Th. M., Stability of Functional Equations in Several Variables (1998), Birkhäuser · Zbl 0894.39012 [7] Hyers, D. H.; Ulam, S. M., On the stability of differential expressions, Math. Magazine, 28, 59-64 (1954) · Zbl 0057.09905 [8] Flett, T. M., A mean value theorem, Math. Gazette, 42, 38-39 (1958) · Zbl 0136.04102 [9] Sahoo, P. K.; Riedel, T., Mean Value Theorems and Functional Equations (1998), World Scientific: World Scientific New Jersey · Zbl 0980.39015 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.